Greatest Common Factor of 993/15, 165/12, 102/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 993/15, 165/12, 102/480

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 993/15,165/12,102/480

Given fractions are 993/15,165/12,102/480

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 993,165,102

Greatest Common Factor of Numerators i.e. GCF of 993,165,102 is 3 .

LCM of Denominators means LCM of 15,12,480 as per the given fractions.

LCM of 15,12,480 is 480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 993,165,102

GCF of Fractions 993/15,165/12,102/480 is 3/480

3 993, 165, 102
331, 55, 34

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 993,165,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 993,165,102 By Matching Biggest Common Factor Method

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 993,165,102 . The biggest common factor number is the GCF number.
So the greatest common factor 993,165,102 is 3.

Lets's calculate LCM of 15,12,480

2 15, 12, 480
2 15, 6, 240
3 15, 3, 120
5 5, 1, 40
1, 1, 8

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 1 x 8 = 480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/480

Therefore, the GCF of Fractions 993/15,165/12,102/480 is 3/480

Least Common Multiple of 15,12,480 with GCF Formula

Least Common Multiple of 15,12,480 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 15,12,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,12,480) = 3

common factors(in case of two or more numbers have common factors) = 60

GCF(15,12,480) x common factors =3 x 60 = 180

LCM(15,12,480) = ( 15 × 12 × 480 ) / 180

LCM(15,12,480) = 86400 / 180

LCM(15,12,480) = 480


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 993/15, 165/12, 102/480

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 993/15, 165/12, 102/480?

Answer: GCF of Numerators as per given numbers 993/15, 165/12, 102/480 is

GCF of Numerators i.e. for 993,165,102 is 3

LCM of denominators i.e. for 15,12,480 is 480.

Thus, GCF of Fractions is 3/480.Finally, GCF of Fractions for 993/15, 165/12, 102/480 is 3/480.